Manuscript Hawk02-C@2 · Hawk02-C.tex · section · bb332d66

Operator construction

The autonomous source–boson Hamiltonian › Operator construction · lines 591–606

Define

N_{exc} = P_{ex} \otimes I + I \otimes d Γ (I_{h}) .

For $n \geq 1$ , its $n$ -excitation space is

H_{n} = (∣ 0 ⟩_{M} \otimes F_{s}_{n} (h)) \oplus (P_{ex} H_{M} \otimes F_{s}_{n - 1} (h)) .

The zero-excitation space is $C (∣ 0 ⟩_{M} \otimes Ω)$ .

Displayed formulas in this passage

unlabeled · line 594
$N_{exc} = P_{ex} \otimes I + I \otimes d Γ (I_{h}) .$
unlabeled · line 598
$H_{n} = (∣ 0 ⟩_{M} \otimes F_{s}_{n} (h)) \oplus (P_{ex} H_{M} \otimes F_{s}_{n - 1} (h)) .$